A person wants to design a weekly exercise program with the following three sports: CrossFit, cycling, and swimming. The

person would like to invest at least as much time cycling as doing CrossFit and swimming combined. In addition, the person

wants to include at least two hours of swimming because it is their preferred exercise. An average hour of Crossfit burns

about $600$ calories. Cycling and swimming burn $300$ each per hour. The goal is to burn at least $3000$ calories per week

through exercise. Your task is to build an optimization model to inform this person how many hours per week to devote

to each sport while minimizing the total number of hours invested per week.